Obtaining momentum distibution from Green's functions

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SUMMARY

To obtain the momentum distribution (n_k) from Green's functions in the context of an 8x8 square lattice using the 2-D Hubbard model, one must calculate the Fourier transform of the Green function. The discussion highlights the use of Quantum Monte Carlo methods to derive the Green functions. Additionally, it suggests that software tools like MATLAB can be utilized for calculating and plotting these functions, although specific guidance on implementation is not provided.

PREREQUISITES
  • Understanding of Green's functions in quantum mechanics
  • Familiarity with the 2-D Hubbard model
  • Knowledge of Quantum Monte Carlo methods
  • Proficiency in MATLAB for data analysis and visualization
NEXT STEPS
  • Research the Fourier transform of Green's functions in quantum systems
  • Explore MATLAB functions for plotting and analyzing quantum mechanical data
  • Study the implementation of Quantum Monte Carlo methods in the context of lattice models
  • Investigate existing software packages for calculating momentum distributions from Green's functions
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Researchers and students in condensed matter physics, computational physicists, and anyone involved in studying electron correlation in lattice systems.

Emman1
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How does one obtain the momentum distribution (n_k) from the green functions Is there a software for it if so where can I get it
Thanks
Emman1
 
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Momentum of what, in which system and under what conditions?

Does this help?

http://www2.fz-juelich.de/nic-series/volume31/mavropoulos.pdf
 
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I am working on electron correlation in an 8 X8(64 site) square lattice at half filling using the 2-D Hubbard model. using quantum monte Carlo I was able to obtain the Green functions. To get the momentum distribution I am required to calculate the Fourier transform of the Green function. The problem is I do not know how to go about calculating the Green functions and plotting it. Can it be done with Matlab?
 

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